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344253352443 = 37111319311911019
BaseRepresentation
bin1010000001001110001…
…10010100100111111011
31012220120121102020220120
411000213012110213323
521120012324234233
6422051532024323
733604630133520
oct5004706244773
91186517366816
10344253352443
11122aa7051a50
12568759020a3
132660314a160
141293a573147
158e4c7b34b3
hex50271949fb

344253352443 has 256 divisors, whose sum is σ = 673814937600. Its totient is φ = 150403392000.

The previous prime is 344253352393. The next prime is 344253352459.

344253352443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344253352443 - 224 = 344236575227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344253352395 and 344253352404.

It is not an unprimeable number, because it can be changed into a prime (344253352463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 337833988 + ... + 337835006.

It is an arithmetic number, because the mean of its divisors is an integer number (2632089600).

Almost surely, 2344253352443 is an apocalyptic number.

344253352443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344253352443 is a deficient number, since it is larger than the sum of its proper divisors (329561585157).

344253352443 is a wasteful number, since it uses less digits than its factorization.

344253352443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294.

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 344253 and 352443, that added together give a palindrome (696696).

The spelling of 344253352443 in words is "three hundred forty-four billion, two hundred fifty-three million, three hundred fifty-two thousand, four hundred forty-three".